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Cubic term for all N ≥ 3, so transition first order No term linear in φ. Cubic term in φ for all N ≥ 3. Along q c, about φ = 0 there is no symmetry of φ → - φ for any N ≥ 3. Hence terms ~ φ 3, and so a first order transition, are ubiquitous. Special to matrix model, with the q i ’s elements of Lie algebra. Svetitsky and Yaffe ’80: V eff (loop) ⇒ 1st order only for N=3; loop in Lie group Also 1st order for N ≥ 3 with FRG: Braun, Eichhorn, Gies, Pawlowski, 1007.2619. Define φ = 1 - q, Confining point φ = 0